Despite being pervasive under these games, which have been thoroughly studied in the past [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, this effect did not receive much attention, with the exception of [7]}. A significant amount of approaches to finite games have considered the weak selection limit [8]}, [9]}, [10]} and show that when selection tends to zero fast enough (when compared to the increase of population size), we should expect fixation probability functions to always decrease asymptotically. Motivated by this, we have looked at the impact of decreasing intensity of selection on the fixation probability functions, represented in figure REF . For a fixed choice of payoffs \([a,b,c,d]\) , decreasing the intensity of selection \(w\)  pushes the population size from which fixation starts to increase \(N_{min}\)  to larger values. In fact, they seem to be inversely proportional, \(N_{min}(w)\sim 1/w\)  (see appendix ).
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